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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 101478.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101478.g1 | 101478j1 | \([1, 0, 0, -3949037, -3028676931]\) | \(-6810787455780788177508433/20396842684273414476\) | \(-20396842684273414476\) | \([]\) | \(5632704\) | \(2.5747\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101478.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101478.g do not have complex multiplication.Modular form 101478.2.a.g
sage: E.q_eigenform(10)